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Finding the Fourth Proportional to 107,665.72, 161,496.54 and 48,459.64

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Solution

The fourth proportional to 107,665.72, 161,496.54 and 48,459.64 is: 72,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,665.72 : 161,496.54 = 48,459.64 : x
  2. Step 2: Convert to fraction form
    107,665.72/161,496.54 = 48,459.64/x
  3. Step 3: Cross multiply
    107,665.72x = 161,496.54 × 48,459.64
  4. Step 4: Simplify right side
    107,665.72x = 7,826,064,189.65
  5. Step 5: Solve for x
    x = 7,826,064,189.65/107,665.72
  6. Step 6: Final answer
    x = 72,688.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.